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Primordial Black Holes and Cosmological Phase Transitions Report ...

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List of Figures<br />

1 The time evolution of the abundances of the light elements produced<br />

during <strong>Primordial</strong> Nucleosynthesis. . . . . . . . . . . . . . 11<br />

2 The energy densities of matter <strong>and</strong> radiation as a function of the<br />

scale factor R(t). . . . . . . . . . . . . . . . . . . . . . . . . . . . 12<br />

3 The inflaton potential in the case of chaotic inflation. . . . . . . . 16<br />

4 The inflaton potential in the case of natural inflation. . . . . . . 16<br />

5 The inflaton potential in the case of hybrid (double) inflation. . . 17<br />

6 The scale factor during the QCD transition as a function of time. 29<br />

7 The scale factor as a function of time. . . . . . . . . . . . . . . . 30<br />

8 The theoretical CMB anisotropy power spectrum. . . . . . . . . . 32<br />

9 The Lyman α forest (quasar RDJ030117 + 002025) . . . . . . . . 34<br />

10 The particle content of the SMPP. . . . . . . . . . . . . . . . . . 35<br />

11 Mass spectrum of supersymmetric particles <strong>and</strong> the Higgs boson<br />

according to the SPS1a scenario. . . . . . . . . . . . . . . . . . . 49<br />

12 The effective number of degrees of freedom g(T ). . . . . . . . . . 58<br />

13 QCD phase transition (schematic) diagram. . . . . . . . . . . . . 60<br />

14 Naive phase diagram of strongly interacting matter. . . . . . . . 61<br />

15 Sketch of a first–order QCD transition via homogeneous bubble<br />

nucleation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63<br />

16 Behaviour of the temperature as a function of the scale factor<br />

during a first–order QCD transition. . . . . . . . . . . . . . . . . 63<br />

17 Thermodynamic state variables for a strong first–order phase<br />

transition. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64<br />

18 The Hubble rate H <strong>and</strong> the typical interaction rates of weak (Γw)<br />

<strong>and</strong> electric (Γe) processes. . . . . . . . . . . . . . . . . . . . . . 65<br />

19 Sketch of a first–order QCD transition in the inhomogeneous Universe.<br />

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67<br />

20 <strong>Primordial</strong> gravitational waves from the QCD transition. . . . . . 69<br />

21 The behaviour of the sound speed during the QCD transition as<br />

a function of the scale factor. . . . . . . . . . . . . . . . . . . . . 70<br />

22 The entropy density of hot QCD relative to the entropy density<br />

of an ideal QGP. . . . . . . . . . . . . . . . . . . . . . . . . . . . 72<br />

23 Energy density <strong>and</strong> pressure as functions of T/Tc for the QCD<br />

transition in LGT. . . . . . . . . . . . . . . . . . . . . . . . . . . 74<br />

24 The square speed of sound as a function of T/Tc for the QCD<br />

transition in LGT. . . . . . . . . . . . . . . . . . . . . . . . . . . 74<br />

25 The behaviour of the sound speed as a function of T/Tc during<br />

the QCD transition according to the Lattice model. . . . . . . . 76<br />

26 The square speed of sound for the QCD Crossover. . . . . . . . . 77<br />

27 The minimum value attained by the sound speed as a function of<br />

the parameter ∆T (QCD Crossover). . . . . . . . . . . . . . . . . 78<br />

28 The beginning <strong>and</strong> the end of the QCD phase transition as a<br />

function of the transition temperature (Bag Model <strong>and</strong> Lattice<br />

Fit). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80<br />

vii

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